Independent scaling of a delay in frequency-domain system identification

Author

Strompf, Jeroen ; Kollár, István ; Rolain, Yves

Author_Institution

Syst. & Control Lab., Delft Univ. of Technol., Netherlands

Volume

47

Issue

1

fYear

1998

fDate

2/1/1998 12:00:00 AM

Firstpage

327

Lastpage

331

Abstract

In frequency-domain identification of systems with delay, the delay can be scaled independently of the transfer function to which it is associated. Practical examples show that in most situations, the delay is properly scaled with the commonly used scaling. Examples have been provided where independent scaling can be useful to improve numerical conditioning and to enhance identifiability. Algorithms are proposed for these purposes and for system analysis

Keywords

delay estimation; delay systems; frequency-domain analysis; iterative methods; least squares approximations; linear systems; maximum likelihood estimation; nonlinear estimation; numerical stability; polynomial approximation; transfer functions; cost function; delay estimation; error vector; frequency-domain system identification; global scaling; identifiability; independent scaling; linear time-invariant SISO systems; maximum likelihood estimator; nonlinear least squares; numerical conditioning; numerical stability; parameter estimation; singular values; systems with delay; transfer functions; Cost function; Delay estimation; Delay systems; Laplace equations; Mathematical model; Nonlinear equations; Numerical stability; Pollution measurement; System identification; Transfer functions;

fLanguage

English

Journal_Title

Instrumentation and Measurement, IEEE Transactions on

Publisher

ieee

ISSN

0018-9456

Type

jour

DOI

10.1109/19.728843

Filename

728843